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Finding the Fourth Proportional to 31,398.22, 47,041.98 and 16,574.48

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Solution

The fourth proportional to 31,398.22, 47,041.98 and 16,574.48 is: 24,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.22 : 47,041.98 = 16,574.48 : x
  2. Step 2: Convert to fraction form
    31,398.22/47,041.98 = 16,574.48/x
  3. Step 3: Cross multiply
    31,398.22x = 47,041.98 × 16,574.48
  4. Step 4: Simplify right side
    31,398.22x = 779,696,356.67
  5. Step 5: Solve for x
    x = 779,696,356.67/31,398.22
  6. Step 6: Final answer
    x = 24,832.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.